17.9 is what percent of 35.73 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 35.73 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 35.73, so we can write it down as 100%=35.73.
4. We know, that x% equals 17.9 of the output value, so we can write it down as x%=17.9.
5. Now we have two simple equations:
1) 100%=35.73
2) x%=17.9
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=35.73/17.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.9 is what percent of 35.73

100%/x%=35.73/17.9
(100/x)*x=(35.73/17.9)*x       - we multiply both sides of the equation by x
100=1.9960893854749*x       - we divide both sides of the equation by (1.9960893854749) to get x
100/1.9960893854749=x
50.097956898964=x
x=50.097956898964

now we have:
17.9 is 50.097956898964% of 35.73